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Finding the Fourth Proportional to 27,470.48, 37,907.52 and 15,534.32

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Solution

The fourth proportional to 27,470.48, 37,907.52 and 15,534.32 is: 21,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.48 : 37,907.52 = 15,534.32 : x
  2. Step 2: Convert to fraction form
    27,470.48/37,907.52 = 15,534.32/x
  3. Step 3: Cross multiply
    27,470.48x = 37,907.52 × 15,534.32
  4. Step 4: Simplify right side
    27,470.48x = 588,867,546.09
  5. Step 5: Solve for x
    x = 588,867,546.09/27,470.48
  6. Step 6: Final answer
    x = 21,436.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.